Multi-phase hydrodynamic simulations on parallel computer

  • Feng Xiao
  • Toshikazu Ebisuzaki
IV Applications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1615)


3D numerical simulations for multi-phase flows have been implemented on the VPP500/28 system at RIKEN.

The physical processes are computed by using a splitting solution approach. Color functions are used to identified different materials. An advection scheme which is able to keep the compact thickness of the interfaces is employed to compute the color function. The scheme appears geometrically faithful and robust even for complex topology. A pressure based algorithm is employed to cover the materials of different equations of state, and a velocity-stress linked treatment is used to deal with different constitutive relations. All forces are evaluated by volume force formulations so as to make the model completely ‘grid based’ and suitable for parallel environment.

Some 3D samples of multi-phase flows, such as macro-particle of solid in viscous flow, suspended rigid object in stratified fluid and bubble dynamics, were calculated.


CFD parallel computing multi-phase flow 3D simulation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. U. Brackbill, D. B. Kothe and C. Zemach: A continuuum method for modeling surface tension J. Comp. Phys. 100, 335 (1992).CrossRefMathSciNetGoogle Scholar
  2. 2.
    S. Doi and N. Harada: Tridiagonal factorization algorithm: a preconditioner for nonsymmetric system solving on vector computers. J. Inform. Proc. 11 (1987) 38MathSciNetGoogle Scholar
  3. 3.
    Y. Pan and S. Banerjee: Numerical simulation of particle interactions with wall turbulence. Phys. Fluid 8 (1996) 2733CrossRefGoogle Scholar
  4. 4.
    W. Shyy: Computational Modeling for Fluid and Interfacial Transport. Elservier, (1994)Google Scholar
  5. 5.
    H. A. van der Vorst: Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. (SIAM) J. Sci. Statist. Comput. 13 (1992) 631CrossRefMathSciNetGoogle Scholar
  6. 6.
    F. Xiao: Numerical Scheme for Advection Equation and Multi-layered Fluid Dynamics. Ph.D. thesis, Tokyo Institute of Technology, (1996)Google Scholar
  7. 7.
    F. Xiao, T. Yabe, G. Nizam and T. Ito: Constructing a multi-dimensional oscillation preventing scheme for the advection equation by a rational function. Comput. Phys. Commun. 94 (1996) 103CrossRefGoogle Scholar
  8. 8.
    F. Xiao and T. Yabe: Trace sharp interface of two fluids by one grid with density function. Proc. of the 5th Int. Symposium on CFD, 337 (1993), Sendai, Japan.Google Scholar
  9. 9.
    T. Yabe, F. Xiao and H. Mochizuki: Simulation technique for dynamic evaporation processes. Nuclear Engineering and Design 155 (1995) 45CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  1. 1.Computational Science LaboratoryThe Institute of Physical and Chemical Research (RIKEN)SaitamaJapan

Personalised recommendations